rajs bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. the table shows that…

rajs bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. the table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. what is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40

rajs bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. the table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. what is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40

Answer

Explanation:

Step1: Analyze the context

The amount of water $y$ in the bathtub starts at 40 gallons when $x = 0$ and drains over time. The water level cannot be negative.

Step2: Determine the range

The minimum value of $y$ is 0 (when the bathtub is completely drained) and the maximum is 40 (the initial amount of water). So the range is all real - numbers $y$ such that $0\leq y\leq40$.

Answer:

all real numbers such that $0\leq y\leq40$